Finding the Third Proportional to 300.41 and 646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.41 : 646.38 = 646.38 : x
2. Step 2: Convert to fraction form
   300.41/646.38 = 646.38/x
3. Step 3: Cross multiply
   300.41x = 646.38 × 646.38
4. Step 4: Simplify right side
   300.41x = 417,810.74
5. Step 5: Solve for x
   x = 417,810.74/300.41
6. Step 6: Final answer
   x = 1,390.80